101021311220202 has 24 divisors (see below), whose sum is σ = 218879693859684. Its totient is φ = 33673741758144.

The previous prime is 101021311220201. The next prime is 101021311220267. The reversal of 101021311220202 is 202022113120101.

101021311220202 is a `hidden beast` number, since 10 + 10 + 213 + 11 + 220 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90574640419041 + 10446670801161 = 9517071^2 + 3232131^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101021311220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36313008 + ... + 38995860.

Almost surely, 2^{101021311220202} is an apocalyptic number.

101021311220202 is an abundant number, since it is smaller than the sum of its proper divisors (117858382639482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021311220202 is a wasteful number, since it uses less digits than its factorization.

101021311220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774774 (or 4774771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101021311220202 its reverse (202022113120101), we get a palindrome (303043424340303).

The spelling of 101021311220202 in words is "one hundred one trillion, twenty-one billion, three hundred eleven million, two hundred twenty thousand, two hundred two".